2006/05/29 by A. B. Shapoval, Alexander Shapoval, M. G. Shnirman · 1 citation
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Distribution (mathematics) #Environmental science #Landslides and related hazards #Mathematical analysis #Mathematics #Physics #Randomness #Soil and Unsaturated Flow #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1140/epjb/e2007-00293-1
published in The European Physical Journal B 59(3), 399-403 (Springer Science+Business Media) · 5 pages, 5 figures
arxiv created 2006/05/29 · openalex publication_date 2007/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The paper develops one-parametric family of the sand-piles dealing with the grains' local losses on the fixed amount. The family exhibits the crossover between the models with deterministic and stochastic relaxation. The mean height of the pile is destined to describe the crossover. The height's densities corresponding to the models with relaxation of the both types tend one to another as the parameter increases. These densities follow a step-like behaviour in contrast to the peaked shape found in the models with the local loss of the grains down to the fixed level [S. Lubeck, Phys. Rev. E, 62, 6149, (2000)]. A spectral approach based on the long-run properties of the pile height considers the models with deterministic and random relaxation more accurately and distinguishes the both cases up to admissible parameter values.